An averaging principle for stochastic evolution equations. II.
Bohdan Maslowski, Jan Seidler, Ivo Vrkoč (1991)
Mathematica Bohemica
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In the present paper integral continuity theorems for solutions of stochastic evolution equations of parabolic type on unbounded time intervals are established. For this purpose, the asymptotic stability of stochastic partial differential equations is investigated, the results obtained being of independent interest. Stochastic evolution equations are treated as equations in Hilbert spaces within the framework of the semigroup approach.